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Understanding Vector Calculus

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Understanding Vector Calculus

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Author : Jerrold Franklin
language : en
Publisher: Courier Dover Publications
Release Date : 2021-01-13

Understanding Vector Calculus written by Jerrold Franklin and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-13 with Mathematics categories.

This concise text is a workbook for using vector calculus in practical calculations and derivations. Part One briefly develops vector calculus from the beginning; Part Two consists of answered problems. 2020 edition.

Vector Calculus

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Author : Paul C. Matthews
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-01-14

Vector Calculus written by Paul C. Matthews and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-14 with Mathematics categories.

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

Understanding Vector Calculus

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Author : Jerrold Franklin
language : en
Publisher: Courier Dover Publications
Release Date : 2020-02-12

Vector Calculus

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Author : William Cox
language : en
Publisher: Butterworth-Heinemann
Release Date : 1998-05-01

Vector Calculus written by William Cox and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-01 with Mathematics categories.

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration.Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

Vector Analysis Versus Vector Calculus

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Author : Antonio Galbis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-29

Vector Analysis Versus Vector Calculus written by Antonio Galbis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-29 with Mathematics categories.

The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

Vector Analysis

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Author : Homer E. Newell
language : en
Publisher: Courier Corporation
Release Date : 2006-08-11

Vector Analysis written by Homer E. Newell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-11 with Mathematics categories.

When employed with skill and understanding, vector analysis can be a practical and powerful tool. This text develops the algebra and calculus of vectors in a manner useful to physicists and engineers. Numerous exercises (with answers) not only provide practice in manipulation but also help establish students' physical and geometric intuition in regard to vectors and vector concepts. Part I, the basic portion of the text, consists of a thorough treatment of vector algebra and the vector calculus. Part II presents the illustrative matter, demonstrating applications to kinematics, mechanics, and electromagnetic theory. The text stresses geometrical and physical aspects, but it also casts the material in such a way that the logical structure of the subject is made plain. Serious students of mathematics can rigorize the treatment to their own satisfaction. Although intended primarily as a college text, this volume may be used as a reference in vector techniques or as a guide to self-education.

Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding

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Author : Terrance J Quinn
language : en
Publisher: World Scientific
Release Date : 2020-07-24

Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding written by Terrance J Quinn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Mathematics categories.

Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.

An Illustrative Guide To Multivariable And Vector Calculus

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Author : Stanley J. Miklavcic
language : en
Publisher: Springer Nature
Release Date : 2020-02-17

An Illustrative Guide To Multivariable And Vector Calculus written by Stanley J. Miklavcic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-17 with Mathematics categories.

This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization. With over one hundred carefully drawn color images, students who have long struggled picturing, for example, level sets or vector fields will find these abstract concepts rendered with clarity and ingenuity. This illustrative approach to the material covered in standard multivariable and vector calculus textbooks will serve as a much-needed and highly useful companion. Emphasizing portability, this book is an ideal complement to other references in the area. It begins by exploring preliminary ideas such as vector algebra, sets, and coordinate systems, before moving into the core areas of multivariable differentiation and integration, and vector calculus. Sections on the chain rule for second derivatives, implicit functions, PDEs, and the method of least squares offer additional depth; ample illustrations are woven throughout. Mastery Checks engage students in material on the spot, while longer exercise sets at the end of each chapter reinforce techniques. An Illustrative Guide to Multivariable and Vector Calculus will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject. Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource.

Multivariable And Vector Calculus

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Author : David A. Santos
language : en
Publisher: Mercury Learning and Information
Release Date : 2015-07-30

Multivariable And Vector Calculus written by David A. Santos and has been published by Mercury Learning and Information this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Mathematics categories.

This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. It also provides numerous computer illustrations and tutorials using MATLAB® and Maple®, that bridge the gap between analysis and computation. Features: •Includes numerous computer illustrations and tutorials using MATLAB® and Maple® •Covers the major topics of vector geometry, differentiation, and integration in several variables •Instructors’ ancillaries available upon adoption

Div Grad Curl And All That

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Author : Harry Moritz Schey
language : en
Publisher: W W Norton & Company Incorporated
Release Date : 2005

Div Grad Curl And All That written by Harry Moritz Schey and has been published by W W Norton & Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

This new fourth edition of the acclaimed and bestselling Div, Grad, Curl, and All That has been carefully revised and now includes updated notations and seven new example exercises.

Understanding Vector Calculus

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